A HIGHER CHERN–WEIL DERIVATION OF AKSZ σ-MODELS

DOI10.1142/S0219887812500788zbMath1264.58003arXiv1108.4378MaRDI QIDQ4910903

Urs Schreiber, Domenico Fiorenza, Christopher L. Rogers

Publication date: 13 March 2013

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.4378

zbMATH Keywords

topological field theoriesChern-Simons theoryChern-Weil theory\(L_\infty\)-algebroidsAKSZ theoryhigher symplectic geometry

Mathematics Subject Classification ID

Topological field theories in quantum mechanics (81T45) Supermanifolds and graded manifolds (58A50) Simplicial sets and complexes in algebraic topology (55U10)

Related Items

4-D semistrict higher Chern-Simons theory. I, Algebraic formulation of higher gauge theory, AKSZ models of semistrict higher gauge theory, Generalized higher gauge theory, Canonical functions, differential graded symplectic pairs in supergeometry, and Alexandrov-Kontsevich-Schwartz-Zaboronsky sigma models with boundaries, Extended higher cup-product Chern-Simons theories, Higher Chern-Simons based on (2-)crossed modules, Supersymmetric Yang-Mills theory as higher Chern-Simons theory, General Yang–Mills type gauge theories for p-form gauge fields: From physics-based ideas to a mathematical frameworkorFrom Bianchi identities to twisted Courant algebroids, Topology, rigid cosymmetries and linearization instability in higher gauge theories, Membrane sigma-models and quantization of non-geometric flux backgrounds, A Lie based 4–dimensional higher Chern–Simons theory, Notes on generalized global symmetries in QFT, On higher holonomy invariants in higher gauge theory I, On higher holonomy invariants in higher gauge theory II, Higher U(1)-gerbe connections in geometric prequantization, Secondary products in supersymmetric field theory, L∞-algebra models and higher Chern–Simons theories, Higher groupoid bundles, higher spaces, and self-dual tensor field equations, The \(L_{\infty}\)-algebra of the S-matrix

Cites Work

• Unnamed Item
• Infinitesimal computations in topology
• Two-dimensional gravity and nonlinear gauge theory
• Five-brane effective action in \(M\)-theory
• BV quantization of topological open membranes
• Classical Chern-Simons theory. I
• AKSZ-BV formalism and courant algebroid-induced topological field theories
• Lie theory for nilpotent \(L_{\infty}\)-algebras
• POISSON STRUCTURE INDUCED (TOPOLOGICAL) FIELD THEORIES
• The Geometry of the Master Equation and Topological Quantum Field Theory
• Integrating Lie algebroids via stacks
• Integrating -algebras
• One loop effective measure for sigma models coupled with gravity
• CHERN–SIMONS GAUGE THEORY COUPLED WITH BF THEORY
• On the AKSZ formulation of the Poisson sigma model.